Taylor Polynomial Exploration, Part 3

is the Taylor Polynomial of . is used to approximate .
Drag the point along the -axis to change the center of expansion.
Slide to change the degree.
Enter a new function in the text box to change the function.
Drag the point along the -axis to change the point of approximation.
The error in the approximation is shown below as . Its absolute value will remain between the theoretical bounds.
The value guaranteed by Taylor's Theorem is calculated in the CAS view and shown in the Graphics view on the -axis between and .